I wasn't referring to physical safety, although there are many college campuses (campuses as a whole, not departments) where GLBT students are frequently physically threatened and assaulted. In fact, I decided not to apply to a particular program because approximately 25% of GLBT students on campus had been physically threatened and more than 80% were afraid to be out because of this. I was referring more to feeling safe from discrimination - i.e. knowing I wouldn't be passed up for an assistantship because I was gay, or treated as a second class citizen, or unable to be "out."
I am more than happy to be challenged on how I research GLBT issues or to have my methodology critiqued or my point of view challenged. I'm fully prepared to go through my whole academic and professional career struggling to make my voice heard. I'm simply saying that some issues are so sensitive that for someone who is, for example, homophobic, that it might be difficult for them to critique my methodology without criticizing the subject I was researching. I'm not saying that is always the case, I'm just saying that it can happen.